Rate of convergence in multiple SLE using random matrix theory
Download (ext.)
Journal Article
| Published
| English
Scopus indexed
Author
Campbell, Andrew JISTA;
Luh, Kyle;
Margarint, Vlad
Department
Abstract
In this paper, we provide a rate of convergence for a version of the Carathéodory convergence for the multiple SLE model with a Dyson Brownian motion driver towards its hydrodynamic limit, for β=1 and β=2. The results are obtained by combining techniques from the field of Schramm–Loewner Evolutions with modern techniques from random matrices. Our approach shows how one can apply modern tools used in the proof of universality in random matrix theory to the field of Schramm–Loewner Evolutions.
Publishing Year
Date Published
2025-01-01
Journal Title
Random Matrices: Theory and Application
Publisher
World Scientific Publishing
Volume
14
Issue
1
Article Number
2450028
ISSN
eISSN
IST-REx-ID
All files available under the following license(s):
Copyright Statement:
This Item is protected by copyright and/or related rights. [...]
Link(s) to Main File(s)
Access Level
Open Access
Export
0 Marked PublicationsOpen Data ISTA Research Explorer
Web of Science
View record in Web of Science®Sources
arXiv 2301.04722
Google Scholar